积分算子

Finally we show that the discrete fra-ctional integral operator〓is bounded on〓.

本章还证明了离散分数次积分算子〓在〓上的有界性。

It is divided into four chapters: In chapter 1, we study the boundedness of a class of singular integral operators in w...

全文共分四章：第一章研究一类奇异积分算子在加权Hardy空间的有界性。

Discussions of the sparsity and condition number of the expansion matrix are presented.

本文还对一般线性积分算子在正交小波基下的展开进行了讨论。

By using modified conditions for dominant function,we establish extended dominated convergence theorem and obtain an application to integral operators with weak singularity , which simplifies the proof of the classical conclusion.

本文研究了一类推广的控制收敛定理及其应用，利用对控制函数满足条件的修改，建立了推广的控制收敛定理，获得其在弱奇异性积分算子中的应用，简化了经典结论的证明。

The research of fractional integral operator and its related problems is one of the important topics in Harmonic analysis.

中文摘要：分数次积分算子相关问题的研究是调和分析中重要的课题之一。

This new kind controller contains an integral operator called kernel function.

这种新型的Backstepping控制器包含一个积分算子，称为变换核函数。

The main work of this thesis is devided into two parts: We give nesserary and sufficient conditions on the C-resolvent of A to guarantee that the C-semigroup be an ideal of integral operator s.

本文的主要工作分为两部分：对C半群属于某一类积分算子理想给出了基于其生成元的C豫解式的一种刻画，该条件还是一个充要条件。

In chapter 2, we consider the boundedness of the Marcinkiewicz integral operator with rough kernel on the weighted Herz spaces .

在第二章中，我们考虑了带有粗糙核的Marcinkiewicz积分算子在加权Herz空间上的有界性。

Coifman etc proved that the commutator T_f = f = T -bT is bounded on Lp if and only if b BMO, where T is a classical singular integral operator.

Coifman等人得到了交换子T_bf=f=T-bT在L~p(1＜p＜∞)上有界当且仅当b∈BMO，其中T是经典的奇异积分算子。C。

Coifman〓etc first proved that the comutator〓is bo-unded on〓if and only if b∈BMO,where T is a classical singular integr-al operator.

在〓上，Coifman等〓首先得到交换子〓上有界当且仅当〓，其中T是经典奇异积分算子。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。